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A brass boiler has a base area of 0.15m^...

A brass boiler has a base area of `0.15m^2` and thickness 1.0 cm it boils water at the rate of `6.0 kg//min`, When placed on a gas. Estimate the temperature of the part of the flame in contact with the boiler. Thermal conductivity of brass`=109 J//s-.^@C` ) and heat of vapourization of water `=2256 J//g`.

A

`2400 K`

B

`240 "^(@)C`

C

`2400 "^(@)C`

D

`24000 "^(@)C`

Text Solution

Verified by Experts

Rate of supply of heat to water `=` rate at which heat is conducted by boiler
`L(dm)/(dt)=(dQ)/(dt)=(KA(theta-100))/(t)`
`(6xx2256xx10^(3))/(60)=(107.4xx0.15xx(theta-100))/(10^(-2))`
Solving, `theta=240^(@)C`
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